Homogeneous Nilpotent Matrices in Two Variables

Author: Causa Antonio   Re Riccardo  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.36, Iss.3, 2008-03, pp. : 1041-1058

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Abstract

We give a general geometrical procedure to construct nilpotent morphisms Φ : F → F(d), with F a vector bundle on 1, obtaining an analog of the Jordan canonical form. We investigate the possible splitting types of F in dependence on the degeneration behavior of Φ. Applications to nilpotent matrices with an arbitrary number of variables are also given.